Work & Energy

A spring has k = 88 N/m. Draw a graph like that in Fig. 7-12 (see attachment). Use the graph to determine the work needed to stretch the spring from x = 4.4 cm to x = 6.6 cm, where x = 0 refers to the spring's unstretched length.

Conservation of Energy

What should be the spring constant k of a spring designed to bring a 1200 kg car to rest from a speed of 101 km/h so that the occupants undergo a maximum acceleration of 5.0 g

Conservation of Energy

If you stand on a bathroom scale, the spring inside the scale compresses 0.50 mm, and it tells you your weight is 665 N. Now if you jump on the scale from a height of 1.3 m, what does the scale read at its peak?

Conservation of Energy

A spring has a stiffness constant k = 140 N/m. A mass m = 6.0 is released from rest when the spring is stretched x0 = 1.1 from equilibrium. Determine the following. (a) the total energy of the system (b) the kinetic energy when x = x0 / 2 (c) the maximum kinetic energy (d) the maximum speed & (the position at which max ...continues

Conservation of Energy

A 2.0 kg block slides along a horizontal surface with a coefficient of friction µk = 0.30. The block has a speed of v = 1.2 m/s when it strikes a massless spring head-on (as in Fig. 8-18). (a) If the spring has a force constant k = 120 N/m, how far is the spring compressed? (b) What minimum value of the coefficient of stati ...continues

Conservation of Energy

Suppose the roller coaster in Fig. 8-29 (h1 = 32 m, h2 = 13 m, h3 = 20) passes point A with a speed of 3.00 m/s. If the average force of friction is equal to one fifth of its weight, with what speed will it reach point B? The distance traveled is 55.0 m. (See attachment for Diagram)

Linear Momentum and Collisions

A child in a boat throws a 6.00 kg package out horizontally with a speed of 10 m/s, . Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 24.0 kg and that of the boat is 50.0 kg.

Linear Momentum and Collisions

A 0.060 kg tennis ball, moving with a speed of 7.80 m/s has a head-on collision with a 0.086 kg ball initially moving away from it in the same direction at a speed of 3.10 m/s. Assume a perfectly elastic collision and take the initial direction of the balls as positive. What is the velocity of the tennis ball after the collis ...continues

Linear Momentum and Collisions

A 0.90X10^3 kg Toyota collides into the rear end of a 2.2X10^3 kg Cadillac stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 4.0 m before stopping. The police officer, knowing that the coefficient of kinetic friction between tires and road is 0.40, calculates the speed of the Toyota a ...continues

Linear Momentum and Collisions

Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. One is moving upward along the y axis at 2.0 m/s, and the other is moving to the right along the x axis with speed 3.8 m/s. After the collision (assumed elastic), the second ball is moving along the positive y axis (Fig. 9-42 ...continues